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Finding the Fourth Proportional to 20,471.07, 30,692.99 and 7,992.26

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Solution

The fourth proportional to 20,471.07, 30,692.99 and 7,992.26 is: 11,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.07 : 30,692.99 = 7,992.26 : x
  2. Step 2: Convert to fraction form
    20,471.07/30,692.99 = 7,992.26/x
  3. Step 3: Cross multiply
    20,471.07x = 30,692.99 × 7,992.26
  4. Step 4: Simplify right side
    20,471.07x = 245,306,162.83
  5. Step 5: Solve for x
    x = 245,306,162.83/20,471.07
  6. Step 6: Final answer
    x = 11,983.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.